Finding the Third Proportional to 52,638 and 112,784

Step by Step Solution

1. Step 1: Write the proportion equation
   52,638 : 112,784 = 112,784 : x
2. Step 2: Convert to fraction form
   52,638/112,784 = 112,784/x
3. Step 3: Cross multiply
   52,638x = 112,784 × 112,784
4. Step 4: Simplify right side
   52,638x = 12,720,230,656
5. Step 5: Solve for x
   x = 12,720,230,656/52,638
6. Step 6: Final answer
   x = 241,654.90